In [1]:
from itertools import permutations as perm, combinations as com, product as pro, combinations_with_replacement as cr
In [ ]:
In [24]:
# task 1



men = ['man1', 'man2', 'man3', 'man4', 'man5', 'man6']
women = ['woman1', 'woman2', 'woman3', 'woman4']
In [25]:
# a) 3 men and 2 women

print(len(list(com(men, 3))) * len(list(com(women, 2))))

120
In [27]:
# b) Men only

print(len(list(com(men, 5))))

6
In [39]:
# c) Majority women

print(len(list(com(women, 3))) * len(list(com(men, 2))) + len(list(com(women, 4))) * len(list(com(men, 1))))

66
In [45]:
# task 2

deck = []
for i in range(52):
    deck.append('Card'+str(i+1))
    i+=1

len(list(com(deck, 5)))
Out[45]:
2598960
In [50]:
# task 3

contestants = ['Alice', 'Ava', 'Charlie', 'David', 'Eve', 'Frank', 'George', 'Mia']

len(list(perm(contestants, 3)))
Out[50]:
336

task 4¶

IMG_20221220_200557198.jpg

In [8]:
len(list(perm(students, 2)))
Out[8]:
210

task 5¶

favourable_outcomes = [[1, 3], [2, 6], [6, 2], [3, 1]]

totot_number_of_outcomes = 36

favourable_outcomes = 4

total_number_of_outcomes = 36

4/36

=> 1/9

In [72]:
# task 6

conso = []
vovel = []

for i in range(7):
    conso.append('Consonant' + str(i+1))
    i+=1
for i in range(4):
    vovel.append('Vovel' + str(i+1))
    i+=1

print(len(list(com(conso, 3))) * len(list(com(vovel, 2))))

210
In [81]:
# task 7

bulbs = []

for i in range(25):
    bulbs.append('Bulb' + str(i+1))
    i+=1
    
# 25% is defective, one bulb is drown which is not defective.
bulbs.pop()
bulbs

# 25% is defective
total = len(bulbs)
defect = total * 0.25
good = total - defect

print(f'{defect} are bad out of {total}, that means {good} are not defective')

print('Probability that the bulb is good is ', int(good), '/', total)

6.0 are bad out of 24, that means 18.0 are not defective
Probability that the bulb is good is  18 / 24